Search a number
-
+
100909640920 = 23511676333911
BaseRepresentation
bin101110111111010101…
…1101110110011011000
3100122110120021220000011
41131332223232303120
53123130332002140
6114205055451304
710201430536564
oct1357653566330
9318416256004
10100909640920
1139882952860
1217682526b34
1396921003ca
144c53baa6a4
15295901ccea
hex177eaeecd8

100909640920 has 64 divisors (see below), whose sum is σ = 247731229440. Its totient is φ = 36687907200.

The previous prime is 100909640903. The next prime is 100909640921. The reversal of 100909640920 is 29046909001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100909640921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2958765 + ... + 2992675.

It is an arithmetic number, because the mean of its divisors is an integer number (3870800460).

Almost surely, 2100909640920 is an apocalyptic number.

100909640920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100909640920 is an abundant number, since it is smaller than the sum of its proper divisors (146821588520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100909640920 is a wasteful number, since it uses less digits than its factorization.

100909640920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40696 (or 40692 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 100909640920 in words is "one hundred billion, nine hundred nine million, six hundred forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 6763 13526 27052 33815 33911 54104 67630 67822 74393 135260 135644 148786 169555 270520 271288 297572 339110 371965 373021 595144 678220 743930 746042 1356440 1487860 1492084 1865105 2975720 2984168 3730210 7460420 14920840 229340093 458680186 917360372 1146700465 1834720744 2293400930 2522741023 4586801860 5045482046 9173603720 10090964092 12613705115 20181928184 25227410230 50454820460 100909640920